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Question

Simplifysin(90-x)


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Solution

Simplify sin(90-x)

We know the trigonometric identity

sin (A – B) = sin A.cos B – sin B.cos A

Hence substituting A= 90 and B= A in the above identity. We get
sin (90 – x) = sin 90.cos x – sin x cos 90.
We have learnt that sin 90 = 1, And cos 90 = 0
sin(90-x)-cosx

Therefore, the required result is sin(90-x)-cosx.


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